Abstract
This paper deals with the dynamic analysis of pre-stressed laminated composite plates. Particular emphasis is devoted to the case of in-plane mono-axial, biaxial, shear and combined loadings. Both equivalent single layer and layer-wise plate kinematic description are addressed, according to the hierarchical approach proposed by the Carrera's unified formulation. The different kinematic approaches are compared in order to identify the appropriate modeling for laminated composite plates subjected to combined loadings. The principle of virtual displacement is applied in order to obtain governing equations and the corresponding problem is solved through the finite element method. When possible, assessments/comparisons with exact solutions are proposed. Moreover, the effects of different stacking sequences, boundary conditions, geometries and materials on plate natural frequencies are illustrated.
Highlights
Since their first applications, composite laminated plates have been more and more employed in aeronautic, space and automotive industry
Not many efforts have been devoted to the analysis of one of the most critical problems that can arise during the life cycle of a composite plate: the vibrational response of a pre-loaded laminate
In order to verify the effectiveness of the proposed hierarchical kinematic plate models, a few assessments concerning bending, free vibrations and buckling analysis are proposed in the following
Summary
Composite laminated plates have been more and more employed in aeronautic, space and automotive industry. Composites have been employed for some relevant parts of the primary structure of military aircrafts. The broad use of composite structures on highperformance sports equipment should be mentioned. This extensive use of composites is due to their appreciable strength/lightness ratio, which is not achievable through classical metallic alloys like steel, aluminium or titanium. Not many efforts have been devoted to the analysis of one of the most critical problems that can arise during the life cycle of a composite plate: the vibrational response of a pre-loaded laminate
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